made with an invariable pendulum. 
237 
TABLE VII. 
By the Sun. 
From 
To 
Mean of the 
times in the 
intervals. 
Computed 
Vibrations in a 
mean solar day. 
Mean of 
Transit be- 
fore or after 
coincidences. 
Final Cor- 
rection for 
unequal rate. 
Corrected 
Vibrations in a 
mean solar day. 
No. of 
Stars 
obser- 
ved. 
Interval 
of 
Transits. 
io A. M. 
10 P. M. 
day. 
IO 
h. 
0 
m. 
17 
86095,69 
B. 0 
9 
+ ,°I 
86095,70 
2 
2 
4 
io A. M. 
11 P. M. 
IO 
12 
22 
86095,91 
B. 0 
14 
-f,OI 
86095,92 
2 
3 
6 
:o A. M. 
1 2 P. M. 
1 1 
0 
IS 
86095,38 
B. 0 
7 
+ ,OI 
86095,39 
2 
4 
8 
io A. M. 
1 3 P. M. 
1 1 
12 
20 
86095,00 
B. 0 
12 
rate uniform 
86095,00 
2 
5 
10 
io A. M 
14 P. M. 
12 
0 
21 
86095,27 
B. 0 
12 
— ,Ol 
86095,26 
2 
6 
12 
10 P. M. 
11 A.M. 
IO 
IO 
S^ 
86095,22 
A. 1 
12 
+ ,06 
86095,28 
2 
1 
2 
!0P. M. 
12 A. M. 
IO 
23 
3 6 
86095,44 
A. 0 
32 
+ >°3 
86095,47 
2 
2 
4 
10 P.M. 
1 3 A. M. 
1 1 
1 1 
5° 
86095,45 
A. 0 
18 
+ ,OI 
86095,46 
2 
3 
6 
io P. M. 
14 A.M. 
12 
0 
5 
86095,47 
A. 0 
4 
Insensible 
86095,47 
2 
4 
8 
10 P.M. 
1 5 A. M. 
12 
12 
5 
86095,48 
A. 0 
4 
— 
86095,48 
2 
5 
10 
( 1 P. M. 
12 A.M. 
1 I 
12 
IS 
86095,67 
B. 0 
6 
— ,OI 
86095,66 
2 
1 
2 
;iP.M. 
13 A.M. 
12 
O 
18 
86095,57 
B. 0 
9 
-—,OI 
86095,56 
2 
2 
4 
11 P.M. 
14 A.M. 
12 
12 
28 
86095,56 
B. 0 
19 
— ,02 
86095,54 
2 
3 
6 
ii P.M. 
15 A.M. 
13 
O 
22 
86095,56 
B. 0 
13 
— ,01 
86095,55 
2 
4 
8 
12 P.M. 
13 A.M. 
12 
12 
20 
86095,46 
B. 0 
1 1 
-—,01 
86095,45 
2 
1 
2 
(2 P. M. 
14 A. M. 
13 
O 
35 
86095,50 
B. 0 
26 
— ,02 
86095,48 
2 
2 
4 
12 P. M. 
15 A. M. 
! 3 
12 
25 
86095,51 
B. 0 
16 
,OI 
86095,50 
2 
3 
6 
13 P.M. 
14 A. M. 
!3 
12 
5° 
86095,54 
B. 0 
4i 
,°3 
86095,51 
2 
1 
2 
13 P.M 
15 A.M. 
14 
O 
27 
86095,54 
B. 0 
17 
,OI 
86095,53 
2 
2 
4 
14 P.M. 
15 A.M. 
14 
12 
3 
86095,54 
A. 0 
7 
+ ,oi 
86095,55 
2 
1 
2 
Mean 
by the Sun 
86095,49 
Sum of 
Factors. 
1 10 
These two last Tables have been calculated according to the method explained 
at pages 13 and 14 of Captain Kater’s second Paper on the Pendulum (1819). It 
consists in taking the mean of all the vibrations, and all the corresponding (middle) 
times of the coincidences, embraced by a certain interval, from Table V. ; and then 
comparing the mean rate (59736) with the rate actually ascertained by transits, 
which embrace the same, or rather a greater interval, but whose middle time corres- 
ponds nearly with the mean time of the said vibrations drawn from Table V. The 
difference between the mean rate and the observed rate is then applied to the mean 
of the vibrations ; and it is only when the mean time of the transits and that of the 
coincidences do not agree that the final correction is necessary, and also supposing 
the rate of the clock not uniform. 
